Finite Group Databasebeta

← Group #11772425

Character table — Group #11772425

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122222444444444888888888888889916161616161616161818181818363636363636363636727272727272
order122448833668121212126688121224242424242424242224242424242424242448881616161616161616444488
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111-1-111111111-1-1-1-1-1-1iiii−i−i−i−iii−i−i-1-1
χ4111111111111111111111111111111-1-111111111-1-1-1-1-1-1−i−i−i−iiiii−i−iii-1-1
χ5111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ6111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iii11
χ8111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−i11
χ911-11-1111111-1-1-1-1-1-1-1i−i111111-1-1-1-111iiii−i−i−i−i-11-111-111-1-111-1-1i−ii−ii−i
χ1011-11-1111111-1-1-1-1-1-1-1i−i111111-1-1-1-111iiii−i−i−i−i-11-111-1-1-111-1-111−ii−iii−i
χ1111-11-1111111-1-1-1-1-1-1-1i−i111111-1-1-1-1-1-1iiii−i−i−i−i1-11-1-11ii−i−i−i−iii-111-1−ii
χ1211-11-1111111-1-1-1-1-1-1-1i−i111111-1-1-1-1-1-1iiii−i−i−i−i1-11-1-11−i−iiiii−i−i1-1-11−ii
χ1311-11-1111111-1-1-1-1-1-1-1−ii111111-1-1-1-111−i−i−i−iiiii-11-111-111-1-111-1-1−ii−ii−ii
χ1411-11-1111111-1-1-1-1-1-1-1−ii111111-1-1-1-111−i−i−i−iiiii-11-111-1-1-111-1-111i−ii−i−ii
χ1511-11-1111111-1-1-1-1-1-1-1−ii111111-1-1-1-1-1-1−i−i−i−iiiii1-11-1-11ii−i−i−i−iii1-1-11i−i
χ1611-11-1111111-1-1-1-1-1-1-1−ii111111-1-1-1-1-1-1−i−i−i−iiiii1-11-1-11−i−iiiii−i−i-111-1i−i
χ1722222-2-22222-22222220022-2-2-2-2-2-2-2-22200000000222-2-2-200000000000000
χ1822222-2-22222-22222220022-2-2-2-2-2-2-2-2-2-200000000-2-2-222200000000000000
χ19222-2-20022220-2-2-2-22200-2-20000000022000000002-2-2000i2−i2i2−i2i2−i2i2−i2000000
χ20222-2-20022220-2-2-2-22200-2-20000000022000000002-2-2000−i2i2−i2i2−i2i2−i2i2000000
χ21222-2-20022220-2-2-2-22200-2-200000000-2-200000000-2220002−22−2−22−22000000
χ22222-2-20022220-2-2-2-22200-2-200000000-2-200000000-222000−22−222−22−2000000
χ2322-22-2-2-222222-2-2-2-2-2-20022-2-2-2-222222200000000-22-2-2-2200000000000000
χ2422-22-2-2-222222-2-2-2-2-2-20022-2-2-2-22222-2-2000000002-2222-200000000000000
χ2522-2-2200222202222-2-200-2-2000000002200000000-2-22000i2−i2−i2i2i2−i2−i2i2000000
χ2622-2-2200222202222-2-200-2-2000000002200000000-2-22000−i2i2i2−i2−i2i2i2−i2000000
χ2722-2-2200222202222-2-200-2-200000000-2-20000000022-20002−2−22−222−2000000
χ2822-2-2200222202222-2-200-2-200000000-2-20000000022-2000−222−22−2−22000000
χ2944444441-21-2411-2-21-2441-211-2-211-2-20011-2-211-2-200000000000000000000
χ3044444441-21-2411-2-21-2-4-41-211-2-211-2-200-1-122-1-12200000000000000000000
χ314444444-21-214-2-211-2144-21-2-211-2-21100-2-211-2-21100000000000000000000
χ324444444-21-214-2-211-21-4-4-21-2-211-2-2110022-1-122-1-100000000000000000000
χ3344444-4-41-21-2-411-2-21-2001-2-1-122-1-122003-3003-30000000000000000000000
χ3444444-4-41-21-2-411-2-21-2001-2-1-122-1-12200-3300-330000000000000000000000
χ3544444-4-4-21-21-4-2-211-2100-2122-1-122-1-100003-3003-300000000000000000000
χ3644444-4-4-21-21-4-2-211-2100-2122-1-122-1-10000-3300-3300000000000000000000
χ3744-44-4441-21-2-4-1-122-124i−4i1-211-2-2-1-12200ii−2i−2i−i−i2i2i00000000000000000000
χ3844-44-4441-21-2-4-1-122-12−4i4i1-211-2-2-1-12200−i−i2i2iii−2i−2i00000000000000000000
χ3944-44-444-21-21-422-1-12-14i−4i-21-2-21122-1-100−2i−2iii2i2i−i−i00000000000000000000
χ4044-44-444-21-21-422-1-12-1−4i4i-21-2-21122-1-1002i2i−i−i−2i−2iii00000000000000000000
χ4144-44-4-4-41-21-24-1-122-12001-2-1-12211-2-2003i−3i00−3i3i0000000000000000000000
χ4244-44-4-4-41-21-24-1-122-12001-2-1-12211-2-200−3i3i003i−3i0000000000000000000000
χ4344-44-4-4-4-21-21422-1-12-100-2122-1-1-2-21100003i−3i00−3i3i00000000000000000000
χ4444-44-4-4-4-21-21422-1-12-100-2122-1-1-2-2110000−3i3i003i−3i00000000000000000000
χ454-40002i2−2i244-4-4000000000002i2−2i22i2−2i200004-4000000000002i2−2i2000000000000000
χ464-40002i2−2i244-4-4000000000002i2−2i22i2−2i20000-4400000000000−2i22i2000000000000000
χ474-4000−2i22i244-4-400000000000−2i22i2−2i22i200004-400000000000−2i22i2000000000000000
χ484-4000−2i22i244-4-400000000000−2i22i2−2i22i20000-44000000000002i2−2i2000000000000000
χ49888-8-8002-42-40-2-2442-400-2400000000000000000000000000000000000000
χ50888-8-800-42-42044-2-2-42004-200000000000000000000000000000000000000
χ5188-8-88002-42-4022-4-4-2400-2400000000000000000000000000000000000000
χ5288-8-8800-42-420-4-4224-2004-200000000000000000000000000000000000000
χ538-80004i2−4i22-4-2406i−6i00000000i2−i2−2i22i232−3200000000000000000000000000000000
χ548-80004i2−4i22-4-240−6i6i00000000i2−i2−2i22i2−323200000000000000000000000000000000
χ558-80004i2−4i2-424-20006i−6i000000−2i22i2i2−i20032−32000000000000000000000000000000
χ568-80004i2−4i2-424-2000−6i6i000000−2i22i2i2−i200−3232000000000000000000000000000000
χ578-8000−4i24i22-4-2406i−6i00000000−i2i22i2−2i2−323200000000000000000000000000000000
χ588-8000−4i24i22-4-240−6i6i00000000−i2i22i2−2i232−3200000000000000000000000000000000
χ598-8000−4i24i2-424-20006i−6i0000002i2−2i2−i2i200−3232000000000000000000000000000000
χ608-8000−4i24i2-424-2000−6i6i0000002i2−2i2−i2i20032−32000000000000000000000000000000

Here i is the imaginary unit (i² = −1).